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Least Common Multiple (LCM) of 189 and 182

The least common multiple (LCM) of 189 and 182 is 4914.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 189 and 182?

First, calculate the GCD of 189 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 189 ÷ 182 = 1 remainder 7
2 182 ÷ 7 = 26 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 971164
123 and 1054305
18 and 1753150
157 and 9214444
140 and 745180

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